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Question

Find the length of AB, if the length of BD is 6 cm and AO is one third of AC which 12 cm.


  1. 3 cm
  2. 4 cm
  3. 5 cm
  4. 6 cm


Solution

The correct option is C 5 cm

BD=6cmAC=12cmAO=13×AC=13×12AO=4cmWe know that, one of the diagonals of  a kite bisect each other.BO=OD=3cm.
In AOB,AB2=AO2+OB2=42+32=16+9=25AB=25=5 cm
 The length of AB is 5 cm.

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